Change collision properties through time
Like many of the values in blender the collision properties can be animated. You can't enable/disable collision entirely but you can change properties such as friction and stickiness so that it is effectively disabled.

Either with the cursor over the value press I or  RMB and select Insert Keyframe, then go to another frame, adjust the value and insert another keyframe.

When changing values in an on/off manner it is common to add keyframes on two neighbouring frames. In the graph editor, you will want to change the interpolation type by selecting the keyframes, pressing T and choosing either vector or constant to prevent value variations between frames.